AN EQUALITY CONDITION OF ARHIPPAINEN-MULLER'S ESTIMATE AND ITS RELATED PROBLEM

作者:Takahasi Sin Ei*; Miura Takeshi; Hayata Takahiro
来源:Taiwanese Journal of Mathematics, 2011, 15(1): 165-169.
DOI:10.11650/twjm/1500406167

摘要

J. Arhippainen and V. Muller showed that parallel to a + lambda e parallel to(1) <= 3 parallel to a + lambda e parallel to(op) for all a + lambda e is an element of (A) over tilde, where (A) over tilde is the unitization of an arbitrary non-unital Banach algebra A with regular norm. In this note, we present a necessary and sufficient condition for the equality of this estimate and its related problem.

  • 出版日期2011-2